27764961 has 16 divisors (see below), whose sum is σ = 44797824. Its totient is φ = 14932224.

The previous prime is 27764959. The next prime is 27764963. The reversal of 27764961 is 16946772.

It is an interprime number because it is at equal distance from previous prime (27764959) and next prime (27764963).

It is not a de Polignac number, because 27764961 - 2¹ = 27764959 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27764963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38530 + ... + 39243.

It is an arithmetic number, because the mean of its divisors is an integer number (2799864).

Almost surely, 2^27764961 is an apocalyptic number.

27764961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27764961 is a deficient number, since it is larger than the sum of its proper divisors (17032863).

27764961 is a wasteful number, since it uses less digits than its factorization.

27764961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77800.

The product of its digits is 127008, while the sum is 42.

The square root of 27764961 is about 5269.2467203577. The cubic root of 27764961 is about 302.8068457112.

The spelling of 27764961 in words is "twenty-seven million, seven hundred sixty-four thousand, nine hundred sixty-one".